Work

Universally valid uncertainty relations in general quantum systems

Year: 2018

Type: preprint

Abstract: We study universally valid uncertainty relations in general quantum systems described by general $σ$-finite von Neumann algebras to foster developing quantitative analysis in quantum systems with infinite degrees of freedom such as quantum fields. We obtain the most stringent measurement-disturbance relation ever, applicable to systems with infinite degrees of freedom, by refining the proofs given by Branciard and one of the authors (MO) for systems with finite degrees of freedom. In our proof the theory of the standard form of von Neumann algebras plays a crucial role, incorporating with measurement theory for local quantum systems recently developed by the authors.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1808.10615

Authors: Okamura, Kazuya, Ozawa, Masanao

Institution: Nagoya University

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Sumitomo Foundation, Japan Society for the Promotion of Science, Core Research for Evolutional Science and Technology

Awards: Decision making using nano-optics and laser chaos, G2059019105, New developments in quantum measurement theory based on the Heisenberg picture, G2261053528, Mathematical Studies of Fundamental Principles of Quantum Theory, Study of Quantum Foundations and Quantum Set Theory

OpenAlex ID: W2889380925

Cites: 7

Cited by: 1

Related to: 10